Use of the Modified Method of Parameter Continuation in Nonlinear Dynamics

摘要: The modified method of parameter continuation (MMPC) is an asymptotic technique for estimating the eigenfrequencies and eigenmodes nonlinear oscillations beams, plates shells with complicated boundary conditions. Unlike Bolotin method, which usually used such estimations, MMPC estimations depend on shape initial perturbation. When frequency perturbation coincides eigenfrequency structure, vibration close to corresponding eigenfrequency. In another case, it describes real structure different conditions its edges. comparison numerical calculations confirms advantages proposed accuracy it.